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SSC GD Constable Discount & MP

Study Material — 13 PYQs (2020–2020) · Concept Notes · Shortcuts

SSC GD Constable Discount & MP is a frequently tested subtopic — 13 previous year questions from 2020–2020 papers are included below with concept notes, key rules and shortcut tricks.

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Previous Year Questions

SSC GD Constable Discount & MP — Past Exam Questions

13 questions from actual SSC GD Constable papers · all shown free · click option to reveal solution

Exam Q 12020Previous Year Pattern

A merchant offers a discount of 25% on the marked price of a shirt. If the selling price is ₹450, what is the marked price?

Exam Q 22020Previous Year Pattern

A shopkeeper marks an article at ₹500. He gives a discount of 20% on the marked price. What is the selling price?

Exam Q 32020Previous Year Pattern

If an article is sold at a discount of 30% on the marked price, the selling price is ₹280. What is the marked price?

Exam Q 42020Previous Year Pattern

A store offers two successive discounts of 10% and 15% on an article marked at ₹1000. What is the final selling price?

Exam Q 52020Previous Year Pattern

A retailer buys a product for ₹300 and marks it up by 50%. He then offers a discount of 20% on the marked price. What is his profit percentage?

Exam Q 62020Previous Year Pattern

An article is marked at ₹1200. A customer gets a discount of 15% on the marked price. The shopkeeper still makes a profit of 25% on the cost price. What is the cost price?

Exam Q 72020Previous Year Pattern

A trader marks his goods 50% above the cost price. After giving a discount of 30%, he still makes a profit of ₹240. What is the cost price of the goods?

Exam Q 82020Previous Year Pattern

A shopkeeper sells an item at ₹432 after giving a discount of 10% on the marked price. If he makes a profit of 20% on the cost price, what is the cost price of the item?

Exam Q 92020Previous Year Pattern

A merchant offers two successive discounts of 25% and 20% on an article marked at ₹1000. What is the final selling price?

Exam Q 102020Previous Year Pattern

A retailer buys goods at ₹2400 per dozen. He marks them at 60% above cost price and offers a discount of 20% on the marked price. What is the selling price per item?

Exam Q 112020Previous Year Pattern

A retailer buys 100 articles at ₹50 each. He marks them at ₹75 each. During a sale, he offers a discount of 20% on the marked price for the first 60 articles and 30% discount on the remaining 40 articles. What is his overall profit percentage?

Exam Q 122020Previous Year Pattern

A trader marks articles at 25% above cost price. He offers a discount of 15% on the marked price. If he sells 80 articles and makes a total profit of ₹2000, what is the cost price of each article?

Exam Q 132020Previous Year Pattern

A merchant offers three successive discounts of 10%, 20%, and 25% on an article. The final selling price is ₹5400. If the merchant wants to offer only two discounts (10% and x%) such that the final selling price remains ₹5400, what is the value of x?

Concept Notes

Discount & MP— Rules & Concept

Core ConceptRead this first — the foundation of the topic
Core Concept

Marked Price (MP) is the price tag on an item - what the seller claims is the original price. Discount is the reduction given on this marked price. The final price customer pays is called Selling Price (SP)

Key Relationship

SP = MP - Discount Basic Formulas: - Discount = MP - SP - Discount% = (Discount/MP) × 100 - SP = MP × (100 - Discount%)/100 - MP = SP × 100/(100 - Discount%)

Exam PatternsWhat examiners ask — read before attempting PYQs

SSC CGL typically asks 2-3 questions on discount problems. Common question types include: finding MP when SP and discount% are given, calculating profit when discount is involved, successive discounts, and false discount problems. Shortcut #1 - Direct SP Formula: When discount% is given, SP = MP × (100-d)/100. For 20% discount: SP = 0.8 × MP Shortcut #2 - Successive Discounts: For two discounts of a% and b%, combined discount = a + b - (ab/100). For 10% and 20%: Combined = 10 + 20 - (200/100) = 28%

Worked ExampleSolve this step-by-step before moving on

A shopkeeper marks an article 40% above cost price. He gives 25% discount and still makes Rs. 20 profit. Find the cost price. Solution: Let CP = 100 MP = CP + 40% = 100 + 40 = 140 After 25% discount: SP = 140 × 75/100 = 105 Profit = SP - CP = 105 - 100 = 5 If profit of 5 gives Rs. 20, then CP = 20 × 100/5 = Rs. 400 Worked Example 2: A trader allows 16% discount on marked price and still gains 5%.

If the article costs Rs. 50, what is the marked price? Solution: CP = Rs. 50 Gain = 5%, so SP = 50 × 105/100 = Rs. 52.50 Discount = 16%, so SP = MP × 84/100 52.50 = MP × 84/100 MP = 52.50 × 100/84 = Rs. 62.50 Shortcut #3 - Quick MP Calculation: When SP and discount% are known, use MP = SP ÷ (1 - d/100). For 20% discount: MP = SP ÷ 0.8 Most Common Trap: Students confuse discount% base. Discount% is ALWAYS calculated on Marked Price, never on Cost Price or Selling Price.

Many students calculate discount on CP and get wrong answers. Remember: Discount% = (Discount/MP) × 100, not (Discount/CP) × 100. Another frequent error is in successive discount problems. Students simply add the percentages instead of using the formula.

For 10% and 15% discounts, combined is NOT 25%, but 23.5%. Practical Tip: When solving discount problems, always identify what is given and what needs to be found. Draw the relationship: CP → MP → SP. Mark the percentages between each step.

This visual approach prevents calculation errors and saves time in exams.

Key Points to Remember

  • SP = MP - Discount (basic relationship for all discount problems)
  • Discount% is always calculated on Marked Price, never on Cost Price
  • Quick SP formula: SP = MP × (100-d)/100 where d is discount%
  • Successive discount formula: Combined% = a + b - (ab/100)
  • MP from SP shortcut: MP = SP ÷ (1 - discount%/100)
  • Marked Price = Cost Price + Markup (seller's intended profit margin)
  • False discount means MP is artificially inflated to show higher discount
  • In profit-discount problems, always work with CP → MP → SP chain
  • Discount = Marked Price - Selling Price (absolute value in rupees)
  • Single discount equivalent to successive discounts is always less than sum

Exam-Specific Tips

  • Two successive discounts of 20% each = single discount of 36%
  • Formula for MP when SP and discount% known: MP = SP × 100/(100-d)
  • Three equal discounts of 10% each = combined discount of 27.1%
  • If MP = 1.25 × CP, then markup percentage = 25%
  • Discount% formula: (MP-SP)/MP × 100
  • For 25% discount: SP = 0.75 × MP (quick calculation)
  • Successive discounts of 30% and 20% = single discount of 44%
  • When discount% equals profit%, MP = 2 × CP

60-Second Revision — Discount & MP

  • Formula: SP = MP × (100-discount%)/100 for quick calculations
  • Remember: Discount% base is always Marked Price, not Cost Price
  • Shortcut: Successive discounts a% and b% = a+b-(ab/100)%
  • Trap: Don't add successive discount percentages directly
  • Quick check: SP should always be less than MP when discount is given
  • Pattern: Most SSC questions involve CP→MP→SP chain with percentages
  • Time-saver: Use 0.8, 0.75, 0.9 multipliers for 20%, 25%, 10% discounts
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